Measurement of sizes of falling particles

ABSTRACT

For measuring the sizes of particles in the falling state, electromagnetic waves having different frequencies are transmitted from a transmitter/receiver onto the particles in the falling state and reflected electromagnetic waves having different frequencies reflected from the particles in the falling state and received by the transmitter/receiver. Data of the distribution of sizes of the particles and the average size of the particles are derived from the detected intensities of the received reflected electromagnetic waves.

This is a continuation-in-part of application Ser. No. 851,148 filed on Apr. 11, 1986, claiming priority based on Japanese patent application Nos. 60-77343 and 60-284445 filed on Apr. 11, 1985 and Dec. 19, 1985 respectively.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present invention relates to a method and apparatus for measuring the sizes of particles in a falling state. The method and apparatus according to the present invention is used, for example, for measuring the size of iron ore or coke falling into a blast furnace in the iron industry.

2. Description of the Related Art

It is often necessary to continuously measure the sizes of particles which are in the falling state when being supplied into a vessel or the like.

In the operation of a blast furnace in the iron industry, materials such as iron ore and coke are accumulated in a charging hopper at the top of the blast furnace and are caused to fall intermittently into the blast furnace.

The thus falling materials have a great influence on the flow of gas in the blast furnace, which is a very important factor in maintaining a stable and efficient operation of the blast furnace, depending on the sizes of the particles of the materials. Also, segregation of the particle materials is often carried out while the particle materials are being transferred by a conveyor or the particle materials are going down through the charging hopper, depending on the sizes of particles of the particle materials. For these reasons, it is necessary to measure the sizes of particles of the particle materials immediately before the particle materials are charged into the blast furnace.

In the prior art, however, sizing of the particles has been carried out only by taking a certain amount of the particles as a sample from the particles which are being transferred by a conveyor and measuring the sizes of the sampled particles by a screen. A steady and continuous measurement technique for measuring the sizes of particles has not been established.

A method for measuring the sizes of minute particles such as those having a size of less than several hundred micro-meters in the falling state by using the diffraction of a laser light is disclosed in the Transactions of Japanese Mechanical Engineers Society, Vol 49, No. 442, Pages 2.30 to 2.38, June, 1983. However, this method cannot be applied to particle materials which are being charged into the blast furnace in a large amount, such as several hundred kilograms per second, wherein the particles have a size of several millimeters to several tens of millimeters and are falling within a cylinder having a diameter of several tens of centimeters, which does not permit the transmission of laser light.

SUMMARY OF THE INVENTION

It is an object of the present invention to provide a method and apparatus for measuring the sizes of particles in the falling state in an on-line and continuous manner, with as little limitation of the measurement conditions, such as the amount of falling particles, measurement environment, state of dispersion of the particles, or the like, as possible.

According to the fundamental aspect of the present invention, there is provided a method for measuring the sizes of particles in the falling state including the steps of: irradiating electromagnetic waves having different frequencies onto particles in the falling state at a predetermined angle with respect to the direction in which the particles are falling and receiving reflected electromagnetic waves having different frequencies reflected from the particles in the falling state; detecting the intensities of the received reflected electromagnetic waves having different frequencies; and deriving data of the distribution of sizes of the particles and the average size of the particles from the detected intensities of the received reflected electromagnetic, waves.

BRIEF DESCRIPTION OF THE DRAWINGS

In the drawings, FIG. 1 shows an arrangement for transmitting electromagnetic waves onto particles in the falling state and the reflected electromagnetic waves at the top of a blast furnace according to an embodiment of the present invention;

FIG. 2 shows a state of adjacent particles when falling from the outlet of the charging hopper to the level of the probe;

FIG. 3 shows the irradiation of the electromagnetic waves from an antenna in a waveguide and the reflection of the electromagnetic waves from the particles in the falling state;

FIG. 4 shows the relationship between the size of the particles and the reflectance of the electromagnetic waves;

FIG. 5 shows the relationship between the size of the particles and the reflectance of the electromagnetic waves where of different sizes are mixed;

FIG. 6 modified apparatus in which a dielectric is used;

FIG. 7 shows a modified apparatus in which two probes are used;

FIG. 8 shows the reflectances (reflectance) with regard to time for the two probes;

FIG. 9 shows a modified apparatus in which the Doppler effect is used;

FIG. 10 shows the relationship between the size of the particle and the reflectances (reflectance) where a frequency sweep using a single oscillator is carried out;

FIG. 11 shows the distribution of the sizes of the particles;

FIGS. 12, 13, and 14 show modified probes used for the apparatus according to the present invention;

FIG. 15 shows a modified probe having a protector used for the apparatus according to the present invention;

FIG. 16 shows an inner calibration device used in a modified apparatus according to the present invention;

FIG. 17 shows an external calibration device use in a modified apparatus according to the present invention;

FIG. 18 shows the result of an experiment representing the relationship between particle size and the reflectance;

FIG. 19 shows the result of an experiment representing the relationship between the particle size confirmed by screening and the reflectance;

FIG. 20 shows the result of an experiment representing the relationship of various mixtures of different sizes of particles and the proportion of particles having a predetermined particle size; and

FIG. 21 shows the result of an experiment representing the change of particle size with regard to operation time of a blast furnace.

DESCRIPTION OF THE PREFERRED EMBODIMENTS

Before describing in detail the embodiments of the present invention, the principle of the measurement of the sizes of particles in a falling state according to the present invention will be described with reference to FIGS. 1, 2, and 3. In FIG. 1, the arrangement for transmitting an electromagnetic wave in, for example, the microwave wavelength range, onto the particles in the falling state and receiving the reflected electromagnetic wave located at the top of a PW type blast furnace is shown.

In FIG. 2, a state of the adjacent particles 111 and 112 when falling from the outlet of the charging hopper 71 to the level of the probe 41 is illustrated. The particles 111' and 112' are in contact with each other at the outlet of the charging hopper 71, the particles being shown in broken lines, and are separated by a distance "l" at the level of the probe 41, the separated particles 111 and 112 being shown by solid lines.

In FIG. 3, the transmission of the electromagnetic wave from an antenna in a waveguide and the reflection of the electromagnetic wave from the particles in the falling state are illustrated.

FIG. 1 shows particles 1' in the stored state, particles 1 in the falling state, a transmitter/receiver 2, a signal processing portion 3, a probe 41, a waveguide 42, an antenna 421, a charging hopper 71, a dumper 72, a vertical chute 73, a gate 74, and a blast furnace 8. The transmitter/receiver 2 includes oscillators 210, 211, 212 . . . for frequencies f₀ , f₁ f₂ . . . and detectors 220, 221, 222 . . . for frequencies f₀ , f₁ , f₂ . . . in the form of, for example, a squarelaw detector using diodes. The oscillators and the detectors are connected with the waveguide 42 via directional coupling devices.

FIG. 3 shows particles 111, 112 in layer-1; 121, 122 in layer-2; 131, 132 in layer-3; 141, 142 in layer-4; . . . 1(n)1, 1(n)2 in layer-n; and 1(n+1)1, 1(n+1)2 in layer-(n+1) in the falling state.

It is assumed that the level difference between the outlet of the charging hopper 71 and the probe 41, is h, and the initial velocity of a granule 1 when the granule 1 falls from the charging hopper 71 is v₀. As the result of free falling, the velocity v of the particle at the level of the probe 41 is expressed by the following equation, where g is the gravitational constant. ##EQU1##

As illustrated in FIG. 2, the distance between the adjacent particles 111 and 112 is increased from 0 at the outlet of the charging hopper 71 to "l" at the level of the probe 41. The distance "l" is expressed by the following equation, where "d" is the diameter of a particle. ##EQU2##

Thus, the distribution of the particles in front of the probe 41 can be expressed as shown in FIG. 3. The pairs of particles 111, 112; 121, 122; 131, 132; 141, 142; . . . 1n1, 1n2; and 1(n+1)1, 1(n+1)2 exist at random in front of the probe 41; the particles of each pair being spaced from each other by a vertical gap of length l.

It can be considered that the layers 1, 2, 3, . . . n, and (n+1), each including particles, are stacked from left to right, and the electromagnetic wave is irradiated from the antenna 421 onto this stack of layers.

It is assumed that the transmission rate of the electromagnetic wave which is transmitted through the layers from layer (1) to layer (n-1), is T_(n-1) , and the transmission rate of the electromagnetic wave which is transmitted through the layers from layer (1) to layer (n), is T_(n). In the arrangement shown in FIG. 3, the following equations are obtained.

    T.sub.n =K·T.sub.N-1                              (3)

That is, each time an electromagnetic wave passes through one layer of the particle layers, a portion of the electromagnetic wave is blocked by that layer, and accordingly, the electromagnetic wave is attenuated. In this equation (3), k is defined by equation (4) below, that is, k is the rate of the portion of the electromagnetic wave which has not been blocked when the electromagnetic wave passes through the one layer.

According to the first order approximation, k is expressed by the following equation. ##EQU3##

According to equation (3), T_(1=kT) ₀ , T₂ =kT₁ , and so on. Since nothing exists in number-zero layer, the electromagnetic wave passes through the number-zero layer without any loss, and thus it is obvious that the transmission rate of the number-zero layer is "one". Accordingly, the value of T₀ is "1".

As a result, the following equation is derived.

    T.sub.n =k.sup.n                                           (5)

Hence, the reflectance R_(n) of the electromagnetic wave reflected from the surface of layer (n+1) is expressed as the following equation.

    R.sub.n =(k.sup.n =k.sup.n+1)·σ.sub.n . . . (6)

In this equation, on represents a scattering cross-section normalized by ##EQU4## The σ_(n) is determined by the size of the granule, the wavelength λ of the electromagnetic wave, the shape of the granule, and the like.

The electromagnetic wave is scattered radially (spherically) in all directions from the surface of the particles. The antenna 421 receives the electromagnetic wave reflected from the surface of layer (n+1) at the receiving rate P_(n) expressed in equation (7) below. In equation (7), d_(a) is the average size of particles. ##EQU5##

In this equation A is the area of the antenna 421. This equation means that the electromagnetic wave reflected from the surface of layer (n+1) propagates again through n layers and returns to the antenna 421, so that the electromagnetic wave is attenuated by factor k_(n) derived from equations (3), (4) and (5), and that the electromagnetic wave reflected from the surface of layer (n+1) scatters spherically in all directions and returns to the antenna 421 so that the electromagnetic wave is also attenuated by factor A/4π(D +n·d_(a))², which is the ratio between the area A of the antenna 421 and the surface area 4π(D+n·d_(a))².

In this equation, d_(a) is the average size of the particles, which is expressed as d_(a) =Σd_(i) /n, and D is the distance between the end of the antenna 421 and the end of the probe 41.

The amount of all electromagnetic waves reflected and returned to the antenna is the sum of the amounts of electromagnetic waves reflected from all layers. Hence, the reflectance R_(ant) of the electromagnetic wave at the antenna 421, and the related amounts, are expressed by the following equations, provided that the change of the scattering cross-section σ_(n) is small and the scattering cross-section is approximately equal to a constant value σ_(const). ##EQU6##

In general, the spherical reflection of the electromagnetic wave is not carried out isotropically. Hence, in practice, the following equation (11) presents the actual condition. ##EQU7##

In this equation, α is a parameter satisfying the inequality 0<α<2 and is determined generally from the result of experiments.

The scattering cross-section σ increases quickly and monotonously with a power in the range spanning more than the second power and less than the fourth power of d_(a) according to the increase of d_(a) when d_(a) is smaller than 0.4 λ, and converges, through an oscillation of the value around 1, to "1", when d_(a) exceeds 0.4 λ.

The reason is that, since α is given as 0<α<2, the d_(a) ²⁺α in equation (11) is between the second power d_(a) ² and the fourth power d_(a) ⁴.

The relationship between the size of the granule and the reflectance of the electromagnetic wave R is shown in FIG. 4. The monotonous decreasing of the reflectance for d_(a) >0.4 λ is represented by curve-1, and the reflectance having a peak value in the middle for d_(a) <0.4 λ is represented by curve-2.

By measuring the reflectance by using a first electromagnetic wave having a frequency f₀ satisfying the inequality d_(a) ≧0.4 λ and a second electromagnetic wave having the frequencies f₁ , f₂, . . . f_(n) satisfying the inequality d_(a) <0.4 λ, it is possible to measure the distribution of the sizes of the particles.

The definition of the reflectance R of the electromagnetic wave by the particles will now be described. Since the propagation mode of the electromagnetic wave might be changed at an antenna portion of a waveguide, at bent portions of a waveguide, or at like portions, the electromagnetic wave will be necessarily reflected at these portions. Hence, even if there are no articles which reflect the electromagnetic wave existing in front of the antenna, a value of the reflection power will be detected. It is possible to make the detected reflection power to be zero when no granule exists in front of the antenna by providing a compensation means such as a stub tuner in the waveguide. In this case, the average value over a predetermined time period of the detected reflectance when particles exist in front of the antenna is adopted as the reflectance regarding the particles.

In practice, however, it is difficult to maintain the detected reflection power as strictly zero when no granule exists in front of the antenna. Hence, some consideration is required for the case of other than zero. In this case, an effective reflectance obtained by the following equation is adopted as the reflectance regarding the particles.

    R.sub.eff =FUNC(R)                                         (12)

In this equation, R_(eff) is an effective reflectance, R is a detected reflectance, and FUNC(R) is a function operating the degree of change of R with time. The definition of the function FUNC is related, for example, to time deviation expressed by the following equation, where X(t) is the instantaneous value and x_(a) is the average value of the reflectance. ##EQU8##

In consequence, the method and apparatus according to the present invention are based on the above-described principle of the measurement of the sizes of the particles in the falling state.

An apparatus for measuring the sizes of the particles in the falling state according to a preferred embodiment of the present invention is illustrated in FIGS. 1, 2, and 3. In the apparatus shown in FIG. 1, an electromagnetic wave of multiple frequencies generated in the transmitter/receiver 2 is applied to the particles 1 in the falling state.

It is assumed that the falling particles consist of a volumetric fraction x of particles having a size d₀ , a volumetric fraction y of particles having a size d₁ , and a volumetric fraction z of particles having a size d₂. The sum of x, y, and z is equal to 1 (x+y+z =1). The measurement of the distribution of the sizes of particles is obtained by using three frequencies, f₀ , f₁ , and f₂ Frequency f₀ is selected to satisfy the condition d_(a) <0.4 λ for CURVE-1, and frequencies f₁ and f₂ are selected to satisfy the condition d_(a) <0.4 λ60 for CURVE-2 (FIG. 4).

The relationship between the granule size d and the reflectance rate R is shown in FIG. 5. With regard to the reflectance for frequency f₂ , there is no reflecting power from particles having a size d₀ , or d₁ , but only from particles having a size d₂. With regard to the reflectance for frequency f₁ no reflecting power is obtained from particles having a size d₀ , but is gained from particles having a size d₁ or d₂. With regard to the reflectance for frequency f₀ , a reflecting power is obtained from particles having a size d₀ , d₁ , or d₂

In the apparatus shown in FIG. 1, electromagnetic waves having the frequencies f₀ , f₁ , and f₂ are transmitted from the transmitter/receiver 2 through the waveguide 42 with the horn antenna 421 into the mixture of particles 1 having the sizes d₀ , d₁ , and d₂ in the falling state.

The reflectance R₀ represents the rate of reflection of the electromagnetic wave having the frequency f₀ from the mixture of particles. The reflectance R₁ represents the rate of reflection of the electromagnetic wave having the frequency f₁ from the particles having sizes d₁ and d₂ in the mixture of particles. The reflectance R₂ represents the rate of reflection of the electromagnetic wave having the frequency f₂ from the particles having size d₂ in the mixture of particles.

The reflectance R_(i),j represents the rate of reflection of the electromagnetic wave having the frequency f_(i) from particles having a uniform size d_(j).

When the electromagnetic waves having the frequencies f₀ , f₁ , and f₂ are transmitted onto the particles having the sizes d₀ , d₁ , and d₂ , the volumetric fraction Z of the particles having the size d₂ is given by the following equation. ##EQU9## The particles having the size d₁ and the particles having the size d₂ contribute to the reflectance R₁.

The contribution of the particles having the size d₂ should be subtracted by using the calculated Z to obtain the volumetric fraction y, as expressed in the following equation. ##EQU10##

The contribution of the particles having the size d₁ and the particles having the size d₂ should be subtracted by using the calculated y and z to obtain the volumetric fraction x, as expressed in the following equation. ##EQU11##

A process of calculation of the average size d(av) of the particles, using the single frequency f₀ , will be described below. Assuming that the total volume of the particles is V, and the number of particles having size d_(j) is N_(j) , the number N_(j) is given by the following equation. ##EQU12##

The reflectance R₀,j is expressed approximately by the following linear equation, if the range of granule sizes to be measured is limited to some extent.

    R.sub.0,j =ξ·d.sub.j +η                    (18)

By using particles having a uniform size, the values ξ and η can be preliminarily determined.

It is assumed that n_(j) particles exist having the size d_(j) , in a mixture of the particles. The total volume V of the particles is given by the following equation. ##EQU13##

The reflectance R₀ is given by the following equation. ##EQU14##

By applying the equations (17), (18), and (19) to the equation (20), the following equations are derived. ##EQU15##

The value d(av) can be expressed as the volumetric average value of the size of the particles. Thus, the volumetric average size d_(a) can be calculated by measuring R₀ and using the preliminarily obtained ξ and η according to the following equation. ##EQU16##

The electromagnetic wave in the microwave wavelength range having the frequencies f₀ , f₁ , f₂ is transmitted from the antenna 421 onto the particles 1 in the falling state when delivered from the charging hopper 71. The electromagnetic wave reflected from the particles in the falling state is received by the transmitter/receiver 2 through the waveguide 42 with the antenna 421, and the received signal is supplied to the signal processing portion 3. In the signal processing portion 3, the reflectance of the electromagnetic wave reflected from the particles is calculated, and the distribution of the sizes of the particles and the average size of the particles are calculated according to the above-described equations.

An example of the sequence of processes for determining the distribution of sizes of the particles using three frequencies in the signal processing portion 3 is described below.

(i) Supposing an example of the mixture of the particles to be measured, select representative particle sizes d₀ , d₁ , and d₂

(ii) Select f₀ so as to satisfy the condition d_(a) >0.4λ (FIG. 4, CURVE-1). Select f₁ and f₂ so as to satisfy the condition d_(a) <0.4λ (FIG. 4, CURVE-2).

(iii) By using electromagnetic waves having the frequencies f₀ , f₁ , and f₂ , and particles having a uniform particle size, obtain CURVES-3, 4, and 5 (FIG. 5) in accordance with the change of particle size.

(iv) Obtain R₀,0 , R₀,1 , R₀,2 , R₁,1 , R₁,2 , and R₂,2 from CURVES-1, and 2 (FIG. 4) in correspondence with the selected representative particle sizes d₀ , d₁ , and d₂.

(v) Measure the reflectances R₀ , R₁ , and R₂ corresponding to the frequencies f₀ , f₁ , and f₂ by the apparatus of FIG. 1.

(vi) Obtain the proportions x, y, and z in the mixture of particles from the obtained R₀,0 , R₀,1 , R₀,2 , R₁,1 , R₁,2 , and R₂,2 and the measured R₀ , R₁ , and R₂.

It is possible to modify the apparatus of FIG. 1 in the manner shown in FIGS. 6, 7, 8, and 9.

In FIG. 6, a dielectric lens 43 is arranged in front of the waveguide 42. It is also possible to omit the dielectric lens from the arrangement shown in FIG. 6.

In FIG. 7, a lower additional probe 41b is arranged at a distance D_(s) below the probe 41a. The correlation treatment is carried out for treating the result of the measurement by the arrangement of FIG. 7.

The cross correlation C(τ) is expressed by the following convolution equation.

    C(τ)=∫R(t)·R(t-τ)·dt        (24)

Assuming R(t) is the signal from the probe 41a and R(t-τ) is the signal from the probe 41b, the correction time τ, which makes C(τ) maximum, corresponds to the time-delay Δt between the probes 41a and 41b. The average velocity v_(a) is expressed by the following equation. ##EQU17##

Hence, the average velocity v_(a) between the probes 41a and 41b can be calculated according to this equation.

The velocity of the particle in front of the probe 41a is expressed as follows. ##EQU18##

By applying equation (26) to equation (1), the initial velocity v₀ pl is calculated by the following equation. ##EQU19##

In FIG. 9, the probe 41 is arranged at an angle φ with respect to the horizontal line. The electromagnetic wave having the frequency f₀ is transmitted onto the particles in the falling state. The frequency of the reflected electromagnetic wave reflected from the particles in the falling state is detected as f₀ ', as the result of the Doppler effect. The frequency difference Δf between f₀ and f₀ ' expressed by the following equation, where C is the velocity of light: ##EQU20## (since Δf=Δv/C and Δv is the component of falling velocity in the direction of the electromagnetic wave transmission which is equal to vsinφ where v is the falling velocity in the vertical direction.)

Hence, the following equation is derived. ##EQU21##

By applying equation (29) to equation (1), the following equation is derived. ##EQU22##

Hence, where the initial velocity v₀ changes, it is possible to calculate the initial velocity v₀ by measuring the falling velocity v. Therefore, it is possible to calculate ##EQU23## from the calculated initial velocity v₀ , and accordingly, to calculate the value of K defined by equation (10).

Alternatively, it is possible to measure the distribution of the sizes of the particles by a frequency sweep process using a single oscillator, where the distribution of sizes of the particles does not change during the measurement period of, for example, several seconds. In this case, the relationship between the particle size d and the reflectance R changes continuously, as shown in FIG. 10. The insensible zone where the reflecting power is very small will be expanded continuously as the frequency is changed from high to low. Consequently, the distribution of the sizes of the particles can be continuously measured as shown in FIG. 11.

Examples of the structure of the probe will be described with reference to FIGS. 12, 13, and 14. An example of the combination of a probe and a protector will be described with reference to FIG. 15.

In the structures shown in FIGS. 12 to 15, the probe 41, which is located in the region where the particles are falling, is made of an impact-resistant metal cylinder. A waveguide 42 with the antenna 421 supported by support plates 451 and 452 is accommodated in the probe 41. One end of the waveguide 42 is connected with the transmitter/receiver 2 (FIG. 1). The antenna 421 may be horn-shaped or cylindrical.

It is possible to introduce a gas for purging, such as air, inert gas, or the like, into the waveguide 42 through a supply pipe 422 and purge the introduced gas from the waveguide 42 through the end of the antenna 421 as shown in FIGS. 12 and 13. This introduction and purging of the gas for purging prevents the particles, the dust, and the like from invading the waveguide 42.

It is possible to provide a lid 44 made of an electromagnetic wave transmitting material, such as quartz glass or the like, at the end of the antenna 421 as shown in FIG. 14. The lid 44 prevents the particles or dust from invading the waveguide 42.

The external surface of the lid 44 is likely to be contaminated by the particles, the dust, and the like while the apparatus is operated. Accordingly, it may be necessary to clean the external surface of the lid at predetermined intervals.

In FIG. 15, the combination of the probe 41 and a protector 61 is shown. The protector 61 is located over the probe 41 to prevent the falling particles from colliding with the probe 41 and exerting a resulting strong impact shock on the probe 41.

The ends of the protector 61 and the probe 41 are projected through the wall of the vertical chute 73 into the particle falling region. In order to facilitate the measurement of the size of the particles at desired positions, there are provided a piston 62 for moving the protector 61 and a piston 5 for moving the transmitter/receiver 2 and the probe 41. Each of the pistons 62 and 5 is driven by a driving mechanism such as an electric motor, a hydraulic cylinder, or the like.

It is possible to modify the apparatus of FIG. 1 to include a calibration arrangement in the apparatus, to ensure that the transmitter/receiver has a constant gain. The factors causing changes in the gain are the electromagnetic wave transmission output, the receiver diode sensitivity, the waveguide attenuation, the reflection at the end of the antenna, and the like.

In order to eliminate these factors causing the changes in the gain, a calibration arrangement such as an internal calibration arrangement shown in FIG. 16 and an external calibration arrangement shown in FIG. 17 is used. The internal calibration arrangement shown in FIG. 16 includes a switching device actuated by a switching signal generation portion, an attenuator, and a constant noise source using, for example, a diode. The gain of signal detection in the signal detection portion is automatically regulated in such a manner that the reference reflection from the internal calibration device is always rendered as a constant output signal. Preferably, the internal calibration is carried out before each measurement with regard to one dump of the particles.

The external calibration arrangement shown in FIG. 17 is samples for which the reflectance of the electromagnetic wave is known. By attaching the portable device at the end of the probe, the detection of whether or not the detection signal of the reflection electromagnetic wave is reflected from the dummy particle samples is maintained as constant. If a variation in the detection signal is detected, it is determined whether there exist abnormalities in the end portion of the probe, in the waveguide, or the like. The external calibration arrangement is directed to the checking of the external exposed portions, such as a coaxial cable, a waveguide, a probe, or the like. The calibration by the external calibration arrangement may be carried out by maintenance personnel while the blast furnace is inactive. It is possible to carry out the transmission and reception of electromagnetic waves having different frequencies by a frequency sweep process using a single oscillator, instead of the above-described use of a plurality of oscillators having different frequencies.

An example of the result of a test of the operation of an apparatus in the form of a model of the apparatus of FIG. 1 according to the present invention will be described below. In the test, microwaves of 24 GHz and 8 GHz are transmitted from the antenna to the particles in the falling state. The distance h is 1660 mm, the initial velocity v₀ of the granule is 1.5 m/s, and the velocity v of the falling particles in front of the probe is 5.9 m/s. The result of the test is shown in FIG. 18 in the form of the relationship between the particle size d and the reflectance R. The curve for 24 GHz expresses that the reflectance R is decreased monotonously with the increase of the granule size for sizes greater than 4 mm. The curve for 8 GHz expresses that the monotonous decrease of the reflectance begins only when the particle size becomes greater than 12 mm and the reflectance is very small when the particle size is less than 10 mm. The characteristic of the curves in FIG. 18 is not necessarily proportional to 1/d², since the characteristic of the efficiency of the antenna and the like. However, the same characteristic is attained as long as the same antenna and the same probe are used. Therefore, the curves in FIG. 18 can be used for the calibration curves for determining the sizes of the particles.

The relationship between the result of the measurement of the sizes of the particles using the calibration curves as shown in FIG. 18 and the result of the confirmation of the sizes of the particles by screening after the sampling of the fallen particles is shown in FIG. 18. It can be seen that the measurement of the sizes of the particles can be carried out with a precision of ±10%.

An example of the result of the test of the operation of an apparatus in the form of a model of the apparatus of FIG. 1 according to the present invention, by changing the ratio between the particles having a size of 5 mm and the particles having a size of 15 mm, is shown in FIG. 20, and the result shown in FIG. 20 indicates that the method according to the present invention can be used practically to a great extent. If the number of frequencies of the electromagnetic wave is increased to three, four, and so on, the size of the particles can be measured even more precisely, and further, the distribution of the sizes of the particles can be obtained.

In general, in the prior art, the sintered ores having a size less than 5.5 mm are returned as returnfines to the original material storing vessel without being charged into the blast furnace, in order to ensure the transmission of air through the blast furnace and a stable running of the blast furnace. However, it is now possible to precisely detect variations of the sizes of the particles in one dump by using the method and apparatus according to the present invention. Consequently, it is possible to control the position where the fine ores are charged to achieve the stable running even if the criteria for the return-fines is selected as 4 mm. An example of the result of the measurement of the variation of the sizes of the particles in one dump is shown in FIG. 21.

Although certain preferred embodiments have been shown and described, it should be understood that many changes and modifications may be made therein without departing from the scope of the appended claims. 

We claim:
 1. A method for measuring sizes of particles in a falling state comprising the steps of:transmitting electromagnetic waves having different frequencies onto particles in the falling state at a predetermined angle with respect to the particle falling direction; receiving reflected electromagnetic waves having the different frequencies reflected from said particles in the falling state; detecting the intensities of said received reflected electromagnetic waves having different frequencies; and deriving data as to the distribution of sizes of said particles and the average size of said particles from the detected intensities of said received reflected electromagnetic waves, said data being derived based on the fact that said detected intensities are related to the sizes of said particles, the frequencies of said electromagnetic waves and the vertical gaps between said particles which are dependent on the particle sizes, an initial velocity of a respective one of the particles and a velocity of the respective particle in the falling state.
 2. A method according to claim 1, wherein said predetermined angle with respect to the particle falling direction is a right angle.
 3. A method according to claim 2, wherein the transmission and reception of the electromagnetic waves having different frequencies are carried out via transmission through a waveguide.
 4. A method according to claim 3, wherein the transmission and reception of the electromagnetic waves having different frequencies are carried out by transmission through a dielectric lens for converging the electromagnetic waves.
 5. A method according to claim 1, wherein said transmission and reception of electromagnetic waves having different frequencies are carried out by transmitting and receiving a first and a second electromagnetic wave of different frequencies through an upper waveguide and a lower waveguide respectively, and said derivation of data of the distribution of sizes of said particles and the average size of said particles is carried out using the result of a calculation of the correlation between the signals of said first and second electromagnetic waves.
 6. A method according to claim 1, wherein said predetermined angle is greater than or less than 90° with respect to the particle falling direction, and said derivation of data of the distribution of sizes of said particles and the average size of said particles is carried out using the result of a calculation of a Doppler effect.
 7. A method according to claim 1, wherein the implementations of said steps of transmitting an electromagnetic wave and receiving reflected electromagnetic waves having different frequencies are carried out by a plurality of transmitting circuits and a plurality of receiving circuits respectively corresponding to said different frequencies.
 8. A method according to claim 1, wherein the implementations of said steps of transmitting an electromagnetic wave and receiving reflected electromagnetic waves having different frequencies are carried out by a frequency sweep process using a single oscillator device.
 9. A method according to claim 1, wherein said step of deriving the average size of said particles and the distribution of the sizes of said particles is carried out on the basis of the following equations with a change of a normalized scattering cross-section being effected by changing frequency of the electromagnetic wave: ##EQU24## where: R_(ant) is a reflectance of an electromagnetic wave at an antenna,A is an area of an antenna, D is a distance between an end of an antenna and an end of a probe, σ_(n) is a normalized scattering cross-section, d_(a) is an average size of particles, R is a transmission rate of an electromagnetic wave, l is a distance between adjacent particles at a level of a probe, d is a diameter of a particle, V₀ is an initial velocity of a particle falling from a charging hopper, and V is a velocity of a particle at a level of a probe.
 10. A method according to claim 1, wherein said step of deriving data is carried out by calculating reflectances, each of the reflectances corresponding to a respective one of the frequencies of the transmitted electromagnetic waves, the reflectance at each of the frequencies corresponding to a particle size.
 11. A method according to claim 10, wherein the distribution of the particles is derived based on the reflectances.
 12. A method according to claim 1, wherein the frequencies of the transmitted waves are in the microwave wave-length range, and the electromagnetic waves are transmitted by means of an antenna.
 13. A method according to claim 1, wherein at least one of the frequencies is smaller than d_(a) /0.4, where d_(a) is the average size of the particles.
 14. A method according to claim 1, wherein at least one of the frequencies is greater than d_(a) /0.4, where d_(a) is the average size of the particles.
 15. An apparatus for measuring sizes of particles in the falling state comprising:electromagnetic wave transmission and reception means for transmitting electromagnetic waves having different frequencies onto particles in the falling state at a predetermined angle with respect to the particle falling direction and receiving the electromagnetic waves having different frequencies reflected from said particles in the falling state; detection means for detecting the intensities of said received electromagnetic waves having different frequencies and outputting signals; and signal processing means for processing said signals to derive data on the distribution of sizes of said particles and an average size of said particles on the basis of the following equations, with a change of a normalized scattering cross-section being effected by changing a frequency of the electromagnetic wave: ##EQU25## where: R is a reflectance of an electromagnetic wave at an antenna, A is an area of an antenna, D is a distance between an end of an antenna and an end of a probe, σ_(n) is a normalized scattering cross-section, d is an average size of particles, R is a transmission rate of an electromagnetic wave, l is a distance between adjacent particles at a level of a probe, d is a diameter of a particle, V is an essential velocity of a particle falling from a charging hopper, and V is a velocity of a particle at a level of a probe, said signal processing means deriving the data based on the fact that said detected intensities are related to the sizes of said particles, the frequencies of said electromagnetic waves and the vertical gaps between said particles which are dependent on the particle sizes, an initial velocity of a respective one of the particles and a velocity of the respective particle in the falling state. 